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Finding the Fourth Proportional to 17,094.65, 23,588.51 and 9,541.40

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Solution

The fourth proportional to 17,094.65, 23,588.51 and 9,541.40 is: 13,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.65 : 23,588.51 = 9,541.40 : x
  2. Step 2: Convert to fraction form
    17,094.65/23,588.51 = 9,541.40/x
  3. Step 3: Cross multiply
    17,094.65x = 23,588.51 × 9,541.40
  4. Step 4: Simplify right side
    17,094.65x = 225,067,420.58
  5. Step 5: Solve for x
    x = 225,067,420.58/17,094.65
  6. Step 6: Final answer
    x = 13,165.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.